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3 years ago

Factor the expression: 5x + 40

Mathematics

2 answers:

Alik [6]3 years ago

5 0

Factored, the answer to that is 5(x+8)

Hope this helps

baherus [9]3 years ago

5 0

Answer:

5(x+8)

Step-by-step explanation:

factor the 5 out

(sorry if it's wrong)

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Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"

dsp73

For any scalars $c_1,c_2$ , we have

$c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w$

So

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w$

We have

$\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}$
$=\begin{vmatrix}12&-3\\4&-6\end{vmatrix}\mathbf i-\begin{vmatrix}-2&-3\\-7&-6\end{vmatrix}\mathbf j+\begin{vmatrix}-2&12\\-7&4\end{vmatrix}\mathbf k$
$=-60\,\mathbf i-(-9)\,\mathbf j+76\,\mathbf k$
$=\begin{bmatrix}-60\\9\\76\end{bmatrix}$

which makes

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}$

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3 years ago

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2/3

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3 years ago

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Whats 40% of 101? Can I have it step by step please?

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3 years ago

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8x-3=15x+18<br> a. x=-3<br> b. x=3<br> c. x=2.1<br> d. x=0.9

natka813 [3]

8x - 3 = 15x + 18

First, subtract 8x from both sides. / Your problem should look like: $-3 = 15x + 18 - 8x$
Second, simplify 15x + 18 - 8x to 7x + 18. / Your problem should look like: $-3 = 7x + 18$
Third, subtract 18 from both sides. / Your problem should look like: $-3 - 18 = 7x$
Fourth, subtract -3 - 18 to get -21. / Your problem should look like: $-21 = 7x$
Fifth, divide both sides by 7. / Your problem should look like: $-\frac{21}{7}$ = x
Sixth, simplify $\frac{21}{7}$ to 3. / Your problem should look like: $-3 = x$
Seventh, switch sides. / Your problem should look like: $x = -3$

Answer: x = -3

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3 years ago